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Beliebt Rechnen >

integral of 3\sqrt[5]{x^2}+3

Lösung

\int 3 5 x^{2} + 3 d x

Lösung

\frac{15}{7} x^{\frac{7}{5}} + 3 x + C

Schritte zur Lösung

\int 3 5 x^{2} + 3 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 5 x^{2} d x + \int 3 d x

\int 3 5 x^{2} d x = \frac{15}{7} x^{\frac{7}{5}}

\int 3 d x = 3 x

= \frac{15}{7} x^{\frac{7}{5}} + 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{15}{7} x^{\frac{7}{5}} + 3 x + C

Graph

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